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Finding the Third Proportional to 8,561,461 and 12,535,026

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Solution

The third proportional to 8,561,461 and 12,535,026 is: 18,352,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561,461 : 12,535,026 = 12,535,026 : x
  2. Step 2: Convert to fraction form
    8,561,461/12,535,026 = 12,535,026/x
  3. Step 3: Cross multiply
    8,561,461x = 12,535,026 × 12,535,026
  4. Step 4: Simplify right side
    8,561,461x = 157,126,876,820,676
  5. Step 5: Solve for x
    x = 157,126,876,820,676/8,561,461
  6. Step 6: Final answer
    x = 18,352,811.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.